2002100220000 has 240 divisors, whose sum is σ = 7296989903280. Its totient is φ = 533893248000.

The previous prime is 2002100219993. The next prime is 2002100220007. The reversal of 2002100220000 is 220012002.

It is an interprime number because it is at equal distance from previous prime (2002100219993) and next prime (2002100220007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002100220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1313797 + ... + 2393796.

It is an arithmetic number, because the mean of its divisors is an integer number (30404124597).

Almost surely, 2^{2002100220000} is an apocalyptic number.

2002100220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002100220000 is an abundant number, since it is smaller than the sum of its proper divisors (5294889683280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002100220000 is an equidigital number, since it uses as much as digits as its factorization.

2002100220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707632 (or 3707603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2002100220000 its reverse (220012002), we get a palindrome (2002320232002).

The spelling of 2002100220000 in words is "two trillion, two billion, one hundred million, two hundred twenty thousand".